What is the equation of a line perpendicular to y=-2/5X-1 that passes through (2,-8)

Step-by-step explanation:

Given the equation

comparing the equation with the slope-intercept form

Here,

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so  the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

subtract 8 from both sides

x/3-10=8

x/3=18

x=48